The pilot reported that the airplane was high on final approach and she initiated a slip in order to lose altitude. She flared the airplane for landing; however, it sank "quickly" and hit the runway "very hard." The airplane subsequently bounced 4 or 5 times. She applied the brakes and was able to regain control. After exiting the airplane, she noticed that the nose wheel was flat. A post accident inspection revealed nose landing gear and firewall damage. The pilot reported that there were no failures or malfunctions associated with the airplane prior to the accident.